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Finding the Fourth Proportional to 76.60, 114.97 and 71.74

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Solution

The fourth proportional to 76.60, 114.97 and 71.74 is: 107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.60 : 114.97 = 71.74 : x
  2. Step 2: Convert to fraction form
    76.60/114.97 = 71.74/x
  3. Step 3: Cross multiply
    76.60x = 114.97 × 71.74
  4. Step 4: Simplify right side
    76.60x = 8,247.40
  5. Step 5: Solve for x
    x = 8,247.40/76.60
  6. Step 6: Final answer
    x = 107.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.